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Finding the Third Proportional to 36,051 and 78,333

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Solution

The third proportional to 36,051 and 78,333 is: 170,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,051 : 78,333 = 78,333 : x
  2. Step 2: Convert to fraction form
    36,051/78,333 = 78,333/x
  3. Step 3: Cross multiply
    36,051x = 78,333 × 78,333
  4. Step 4: Simplify right side
    36,051x = 6,136,058,889
  5. Step 5: Solve for x
    x = 6,136,058,889/36,051
  6. Step 6: Final answer
    x = 170,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.